Theorems · Inductive type · group theory
AddZeroClass
Type u → Type u
Typeclass for expressing that a type M with addition and a zero satisfies
0 + a = a and a + 0 = a for all a : M.
- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 1,237 results in Mathlib
- Foundations
- Depth 0 from the axioms, rests on 1 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by1,503
Results whose statement or proof uses this declaration.
- add_zerostatement and proof · cited by 2,707
- zero_addstatement and proof · cited by 2,366
- AddSubmonoidstatement · cited by 1,178
- AddSubmonoidClassstatement · cited by 346
- smul_addstatement and proof · cited by 263
- AddSubmonoid.closurestatement and proof · cited by 224
- AddSubmonoid.toAddSubsemigroupstatement and proof · cited by 198
- AddMonoidHom.kerstatement and proof · cited by 158
- Right.add_pos_of_nonneg_of_posstatement and proof · cited by 137
- DistribSMulstatement · cited by 117
- lt_add_onestatement and proof · cited by 105
- AddMonoid.Coprodstatement and proof · cited by 104
Showing the 200 most cited of 1,503.